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Page "Finite difference" ¶ 123
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Another and way
Another method of assuring a clean hole is to first drill a small pilot hole all the way through, then drill half way with the dimensional bit, turn the piece over, and finish from the other side.
Another way to remove small objects from the eye was to have the person look cross-eyed ; ;
Another way is merely " one of the many modern substitutes for love, ... nothing but the urge to turn away from oneself and to lose oneself in other people ’ s business.
Another situation is where appeal is by way of " re-hearing ".
Another example is about, which has three different ways of signing it ; these are the standard way and two regional variations ( Atlantic and Ontario ).
Another way of making the point is that if the Platonic world were to disappear, it would make no difference to the ability of mathematicians to generate proofs, etc., which is already fully accountable in terms of physical processes in their brains.
Another line of defense is to maintain that abstract objects are relevant to mathematical reasoning in a way that is non causal, and not analogous to perception.
Another way to state this is that the emitting object may have a transverse velocity with respect to the observer, but any light beam emitted from it which reaches the observer, cannot, for it must have been previously emitted in such a direction that its transverse component has been " corrected " for.
Another way to define the Bessel functions is the Poisson representation formula and the Mehler-Sonine formula:
Another way of putting the argument is to say computational computer programs can pass the Turing test for processing the syntax of a language, but that semantics cannot be reduced to syntax in the way Strong AI advocates hoped: processing semantics is conscious and intentional because we use semantics to consciously produce meaning by what we say.
Another way of computing this derivative is to view the composite function as the composite of and h. Applying the chain rule to this situation gives:
Another way of proving the chain rule is to measure the error in the linear approximation determined by the derivative.
Another way of writing the chain rule is used when f and g are expressed in terms of their components as and.
Another way to eat couscous is as a dessert ; it is prepared with dates, sesame, and pure honey, and locally referred to as " maghrood ".
Another way to represent coordinate transformations in Cartesian coordinates is through affine transformations.
Another way to define Chomsky normal form ( e. g., Hopcroft and Ullman 1979, and Hopcroft et al.
Another way a diatomic molecule can move is to have each atom oscillate — or vibrate — along a line ( the bond ) connecting the two atoms.
Another way is IPTV, that is receiving TV via Internet Protocol, relying on Digital Subscriber Line ( DSL ) or optical cable line.
Another way is by their application area, for example: accounting, music compositions, movies, banking, manufacturing, or insurance.
Another way to represent results is in DMIPS / MHz, where DMIPS result is further divided by CPU frequency, to allow for easier comparison of CPUs running at different clock rates.
Another way of looking at the DFT is to note that in the above discussion, the DFT can be expressed as a Vandermonde matrix:
Another way of looking at the deal as the excess return achieved ( over the risk-free rate ) is ( 14. 5 %- 5. 0 %)/( 100 %+ 5 %) or approximately 9. 0 % ( still very respectable ).
Another way of putting this is to say a perfectly competitive market exists when every participant is a " price taker ", and no participant influences the price of the product it buys or sells.

Another and generalization
Another efficient generalization to draw ellipses was invented in 1984 by Jerry Van Aken.
Another process involving dysphemistic terms is generalization.
Another generalization of algebras is to allow relations.
Another common device is the " false generalization ", an abstraction of the argument that shifts discussion to platitudes where the facts of the matter are lost.
Another broad generalization of curvature comes from the study of parallel transport on a surface.
Another generalization of curvature relies on the ability to compare a curved space with another space that has constant curvature.
Another phase, called public access training, is proofing and generalization or teaching the dog to perform his duties without regard for distraction and in any environment.
Another generalization states that a faithfully flat morphism locally of finite type with X quasi-compact has a quasi-section, i. e. there exists affine and faithfully flat and quasi-finite over X together with an X-morphism.
Another higher-dimensional generalization of Faltings ' theorem is the Bombieri – Lang conjecture that if X is a pseudo-canonical variety ( i. e., variety of general type ) over a number field k, then X ( k ) is not Zariski dense in X.
Another generalization of Heron's formula to pentagons and hexagons inscribed in a circle was discovered by David P. Robbins.
Another generalization is available: suppose A is a linear map from a complex vector space V to another W, then the complex conjugate linear map as well as the transposed linear map are defined, and we may thus take the conjugate transpose of A to be the complex conjugate of the transpose of A.
Another generalization, due to Albert Nijenhuis, allows one to define the Lie derivative of a differential form along any section of the bundle Ω < sup > k </ sup >( M, TM ) of differential forms with values in the tangent bundle.
Another generalization, the elliptic hypergeometric series, are those series where the ratio of terms is an elliptic function ( a doubly periodic meromorphic function ) of n.
Another generalization one could point to is an embrace of the creative attitudes of John Cage, though this is not universal ; Zorn in particular has downplayed his influence.
Another generalization defines a complex Hadamard matrix to be a matrix in which the entries are complex numbers of unit modulus and which satisfies H H < sup >*</ sup >= n I < sub > n </ sub > where H < sup >*</ sup > is the conjugate transpose of H. Complex Hadamard matrices arise in the study of operator algebras and the theory of quantum computation.
Another generalization of lexical ordering occurs in social choice theory ( the theory of elections ).
Another generalization of P is P / poly, or Nonuniform Polynomial-Time.
Another generalization is the multiscale autoregressive ( MAR ) model.
Another generalization of the master equation is the Fokker – Planck equation which describes the time evolution of a continuous probability distribution.
Another shift-and-add algorithm which can be used for computing many elementary functions is the BKM algorithm, which is a generalization of the logarithm and exponential algorithms to the complex plane.
Another question about an arrangement in real space is to decide how many regions are simplices ( the n-dimensional generalization of triangles and tetrahedra ).
Another generalization is to conformal Killing tensor fields.
Another common meaning is a generalization for martial-art movies from Asia or Hong Kong in particular without necessarily having the negative spin connotation.
Another generalization for partition into r sets was given by and is now known as Tverberg's theorem.

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